Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23

Answers

Answer 1

Answer:

x = 5, y = -2

Step-by-step explanation:

2x + 5y = 0 --- Equation 1

Equation 1×3: 6x + 15y = 0 --- Equation 2

3x - 4y = 23 --- Equation 3

Equation 3×2: 6x - 8y = 46 --- Equation 3

We will be eliminating 6x from Equation 2.

Equation 3-2: 6x - 8y - 6x - 15y = 46-0

-23y = 46

y = 46 ÷ -23

y = -2

Substitute y = -2 into Equation 1:

2x + 5y = 0

2x + 5(-2) = 0

2x + (-10) = 0

2x - 10 = 0

2x = 10

x = 10 ÷ 2

x = 5


Related Questions

11. What is the range of values of x for a triangle's third side given side measures
of 8 and 15 for the other two sides?
A) Between 8 and 15
B) Between 7 and 23
C) Less than 7, greater than 23
D) Between 8 and 23

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

between 7 and 23

Step-by-step explanation:

Solve for x and y.
y = 2/3x - 2
y = -x + 3
O(-3,0)
O(0,-3)
O (3,0)
O (0,3)

Answers

Answer:

(3,0)

Step-by-step explanation:

y= 2/3x - 2 ... (1)

y= -x+3 ... (2)

First, change the equations into normal equation form

(1): - 2/3x + y= - 2

(2): x+y= 3

(1)×3: - 2x+3y= - 6 ... (3)

(2)×2: 2x+2y= 6 ... (4)

(3)+(4): 5y=0

y= 0

Substitute y=0 into any equation

Let's say, equation (2)

y= -x+3

0= -x+3

-3= -x

x= 3

(x,y)= (3,0)

-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer

Answers

-11/8 because you turn the first one into -6/8 and then subtract to get -11/8

Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%

Answers

Answer:

54.67 Dollars

Step-by-step explanation:

82 / 3 = 27.33, 82 - 27.33 = 54.67 :D

Answer:54.94

Step-by-step explanation:

4x^3(5x) = what,
will mark brainliest

Answers

Answer:

the answer is 20x^4

Step-by-step explanation:

too long to explain, simple answewr

HEELLLPPP ILL GIVE BRAINLIEST
A tree casts a shadow 24ft long. A 6ft man casts a shadow 8ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?

Answers

Answer:

The answer would be 18 ft tall

NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.

a. Fill in the table.

b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).

Answers

Step-by-step explanation:

table

0 32000

1 30000

2 28000

3 26000

4 24000

question 2

y= - 2000*x+32000

graphic

whatis the value of y?​

Answers

Answer is A, y = 65

The top angle is 50 because 180 - 130 = 50
Since the top angle is 50, the two bottom angles have to add up to 130. Since the bottom angles are the same, you can do 130 / 2 to find the angles which equals 65.

Answer:

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Step-by-step explanation:

Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25

Answers

Answer:

its D/ 56.25

Step-by-step explanation:

because the other numbers are too small

He earns $56.25 because you multiply 12.50 by 4.5 hours.

8
Given the summation E (3 + 2n),
n=1
a. Write the first four terms of the sequence.

Answers

Answer:

(e^3 / e^2n)

Step-by-step explanation:

THIS IS VERY URGENT PLS!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

The answer is A because I had the same question and I got it right.

in the graph shown below, if lines 1^1 are parallel, then the slope of the line 1^2 is?

Answers

Answer:

Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.

Step-by-step explanation:

good morning

If the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

m is the slope, representing the rate of change of the function.

b is the intercept, representing the value of y when x = 0.

When two lines are parallel, they have the same slope.

Hence, If the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.

More can be learned about linear functions at

brainly.com/question/24808124

#SPJ4

complete question:

In the graph shown below, if lines l 1 l 1 ​ and l 2 l 2 ​ are parallel, then the slope of line l 2 l 2 ​ is

how do i write a linear equation and graph it

Answers

y= mx+b
b= y intercept
mx= slope
slope= rise/run

Write an equation to represent the table. (1 point)

Boxes of Candy
5
7
9
Pieces of Candy
80
112
144

Answers

9514 1404 393

Answer:

  pieces of candy = 16 × boxes of candy

Step-by-step explanation:

Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...

  pieces of candy = 16 × boxes of candy

__

If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...

  y = 16x

Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?

Answers

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

How many different axes of symmetry does this parallelogram have?
A. 0
B. 1
C. 2
D. 4

Answers

Answer:

B. 1

Step-by-step explanation:

Given parallelogram has only one axis of symmetry.

Someone please help me I’m struggling rn

Answers

Answer:

HAVE A GOOD DAY !! YAYAYA

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

Please help will mark the brainliest

Answers

Answer:

y=-x-2 this is the answer

Please help me with this math problem ASAP!!

Answers

Let's list what we know.

We know 6 + d is the same as 21

We can use this.

6+d=21

Subtract 6 from both sides

d=15

So d=15

Answer:

21-6=15

Step-by-step explanation:

That helps weigh it down

Determine the solution for the system of equations:

y = -2x + 1
3x - 2y = 5

A.(-1, 1)
B.(1, -1)
C.(-1, 0)
D.No Solution

Answers

Answer:

Step-by-step explanation: d

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

p(x)=6/7x+4 What is P(42)

Answers

40

P(42) = (6/7)(42) + 4 = 36 + 4 = 40

Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA

Answers

AA is not a congruence Postulate/ Theorem

What’s the value of k ?

Answers

Hello!

[tex]\large\boxed{k = 10^{o}}[/tex]

When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:

m∠YZX + m∠ZXY ≅ m∠MYZ

(4k + 5)° + (6k + 10)° = 115°

Combine like terms:

10k + 15 = 115°

Subtract 15 from both sides:

10k = 100°

Divide both sides by 10:

k = 10°

Answer:

k=10

Step-by-step explanation:

First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.

Second you would set the equations equal to 115

4k+5+6k+10=115

Then you would combine the like terms

10k+15=115

next you would subtract the 15 from both sides

10k=100

then you divide by 10

k=10

Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?

Answers

Answer:

Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

The slope (rate of change) of the function is 70.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Verizon charges a $100 initial contract fee,

then $70 a month for a basic cell phone plan.

Let the x be the number of months.

So, the equation,

y = 70x + 100

By comparing with the slope-intercept form,

y = mx + b, where m is the slope.

So, m = 70.

Therefore, 70 is the slope.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

In which quadrant is point C located

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Select the two descriptions that match the dilation

Answers

C and D

Hope this helps !

pls help me solve this

Answers

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

(I NEED THIS DONE ASAP PLEASE) Lena wants to plant a new lawn, but she knows that it’s not safe to run a mower on a hill with a slope ratio steeper than 1 to 3 (Δy = 1, Δx = 3). She has two hills in her yard. Hill A rises 4 feet and has a horizontal distance of 85 feet. Hill B rises 75 feet and has a horizontal distance of 200 feet. On which hill(s) can Lena safely plant her lawn? Justify your reasoning clearly

Answers

Answer:

Hill A

Step-by-step explanation:

Steepness of hill A:

4/85 < 1/3

Steepness of hill B:

75/200 = 3/8 > 1/3

The hill A is less sloped so it is safer to lawn plant

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